4/3-Approximation of Graphic TSP

05/09/2023

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by   Ali Çivril, et al.

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We describe a 4/3-approximation algorithm for the traveling salesman problem in which the distances between points are induced by graph-theoretical distances in an unweighted graph. The algorithm is based on finding a minimum cost perfect matching on the odd degree vertices of a carefully computed 2-edge-connected spanning subgraph.